Question

please solve in step by step​

Answer 1

Step-by-step explanation:

$\frac{log(16)}{ log(9) } \times \frac{ log(10) }{ log(4) } \times \frac{ log(8) }{ log(10) }$

$= \frac{ log( {2}^{4} ) }{ log( {3}^{2} ) } \times \frac{ log( {2}^{3} ) }{ log(2^{2} ) }$

$= \frac{4 log(2) }{2 log(3) } \times \frac{ log(8) }{2 log(2) }$

$= \frac{ log(8) }{ log(3) } = log_{3}(8)$